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Existence and Uniqueness of 2π-Periodic Solution About Duffing Equation and Its Numerical Method 被引量:1
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作者 金花 曹德欣 张建军 《Journal of China University of Mining and Technology》 2004年第1期104-106,共3页
A new provement of the existence and uniqueness about periodic boundary value Duffing equation is established by using global inverse function theorem. An algorithm for solving differential equation that has a large c... A new provement of the existence and uniqueness about periodic boundary value Duffing equation is established by using global inverse function theorem. An algorithm for solving differential equation that has a large convergence domain is given. Finally, a numerical example is given. 展开更多
关键词 duffing equation periodic solution global inverse function theorem numerical continuation method
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PERIODIC BOUNDARY VALUE PROBLEM OF QUASILINEAR SYSTEM
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作者 LiuGuoqing FuDongsheng ShenZuhe 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2001年第4期345-354,共10页
The existence and uniqueness results about quasilinear periodic boundary value problems are established by using the global inverse function theorem and the result about the existence and uniquencess of periodic solut... The existence and uniqueness results about quasilinear periodic boundary value problems are established by using the global inverse function theorem and the result about the existence and uniquencess of periodic solutions for the periodic boundary value problem of nonhomogeneous linear periodic system. 展开更多
关键词 Periodic solution quasilinear systems existence and uniqueness global inverse function theorem.
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